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Finding the Third Proportional to 811,790 and 1,292,861

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Solution

The third proportional to 811,790 and 1,292,861 is: 2,059,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,790 : 1,292,861 = 1,292,861 : x
  2. Step 2: Convert to fraction form
    811,790/1,292,861 = 1,292,861/x
  3. Step 3: Cross multiply
    811,790x = 1,292,861 × 1,292,861
  4. Step 4: Simplify right side
    811,790x = 1,671,489,565,321
  5. Step 5: Solve for x
    x = 1,671,489,565,321/811,790
  6. Step 6: Final answer
    x = 2,059,017.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.